A) 6 cm
B) 4 cm
C) 2 cm
D) 8 cm
Correct Answer: C
Solution :
[c] Given, DE || BC \[\therefore \] \[\Delta ADE\sim \Delta ABC\] Then, \[\frac{AB}{AD}=\frac{AC}{AE}\]\[\Rightarrow \]\[\frac{12x}{6}=\frac{16}{2x}\] \[\Rightarrow \] \[{{x}^{2}}=\frac{16\times 16}{12\times 2}=4\]\[\Rightarrow \] x = 2 cm |
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